Yes you can get admission into NITIE through GATE score. The National Institute of Industrial Engineering (NITIE) offers admissions to PG Diploma programmes in Project Management, Manufacturing Management and Industrial Engineering through validGATE scores. Candidates who have qualified GATE in 2018/2019/2020 will be eligible for NITIE admission through GATE 2020.
The programs offered are
Post Graduate Diploma in Project Management program (PGDPM)
Post Graduate Manufacturing Management Program (PGDMM)
Post Graduate Diploma in Industrial Engineering (PGDIE)
For more details please visit this link https://www.google.com/amp/s/engineering.careers360.com/articles/nitie-admission-through-gate/amp
Hope it helps